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Finding the Fourth Proportional to 19,957.40, 29,937.02 and 6,809.90

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Solution

The fourth proportional to 19,957.40, 29,937.02 and 6,809.90 is: 10,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.40 : 29,937.02 = 6,809.90 : x
  2. Step 2: Convert to fraction form
    19,957.40/29,937.02 = 6,809.90/x
  3. Step 3: Cross multiply
    19,957.40x = 29,937.02 × 6,809.90
  4. Step 4: Simplify right side
    19,957.40x = 203,868,112.50
  5. Step 5: Solve for x
    x = 203,868,112.50/19,957.40
  6. Step 6: Final answer
    x = 10,215.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.